Choose the odd number: 17, 19, and 23 are primes. One number is composite. Identify the composite number.

Difficulty: Easy

Correct Answer: 27

Explanation:


Introduction / Context:
Prime recognition again isolates the outlier.


Given Data / Assumptions:

  • Candidates: 17, 19, 23, 27.
  • Definition: prime vs composite.


Concept / Approach:
Use small-prime divisibility tests (especially 3).


Step-by-Step Solution:

27 → 2+7=9 → divisible by 3 → composite (3^3).17, 19, 23 → not divisible by 2,3,5 → primes.


Verification / Alternative check:
Direct factorization: 27 = 3 * 9 confirms compositeness.


Why Other Options Are Wrong:
They are prime.


Common Pitfalls:
Assuming all odd numbers are prime.


Final Answer:
27 is the odd number.

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